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196028640 = 2533545377
BaseRepresentation
bin10111010111100…
…10100011100000
3111122212021202000
423223302203200
5400140404030
631241324000
74600134033
oct1353624340
9448767660
10196028640
11a0720245
1255796600
13317c67a2
141c06b01a
1512322860
hexbaf28e0

196028640 has 96 divisors (see below), whose sum is σ = 686115360. Its totient is φ = 52273152.

The previous prime is 196028633. The next prime is 196028647. The reversal of 196028640 is 46820691.

196028640 is a `hidden beast` number, since 1 + 9 + 6 + 0 + 2 + 8 + 640 = 666.

196028640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (196028633) and next prime (196028647).

It is a tau number, because it is divible by the number of its divisors (96).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 196028595 and 196028604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (196028647) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18369 + ... + 27008.

It is an arithmetic number, because the mean of its divisors is an integer number (7147035).

Almost surely, 2196028640 is an apocalyptic number.

196028640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

196028640 is an abundant number, since it is smaller than the sum of its proper divisors (490086720).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

196028640 is a wasteful number, since it uses less digits than its factorization.

196028640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45401 (or 45387 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 196028640 is about 14001.0228197800. The cubic root of 196028640 is about 580.9068651116.

The spelling of 196028640 in words is "one hundred ninety-six million, twenty-eight thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 72 80 90 96 108 120 135 144 160 180 216 240 270 288 360 432 480 540 720 864 1080 1440 2160 4320 45377 90754 136131 181508 226885 272262 363016 408393 453770 544524 680655 726032 816786 907540 1089048 1225179 1361310 1452064 1633572 1815080 2041965 2178096 2450358 2722620 3267144 3630160 4083930 4356192 4900716 5445240 6125895 6534288 7260320 8167860 9801432 10890480 12251790 13068576 16335720 19602864 21780960 24503580 32671440 39205728 49007160 65342880 98014320 196028640